A Mean-field Optimal Control Formulation of Deep Learning. Colloquia & Seminars. A Mean-field Optimal Control Formulation of Deep Learning. Date/Time:14 Mar ...

Jul 3, 2018 · This paper introduces the mathematical formulation of the population risk minimization problem in deep learning as a mean-field optimal control ...

A mean-field optimal control formulation of deep learning. Research in the Mathematical Sciences, 6(1), (2019) 10. A. LEONE. The use of Optimal Control ...

Andersson, D., Djehiche, B.: A maximum principle for SDEs of mean-field type. · Bengio, Y.: Learning deep architectures for AI. · Bensoussan, A., Frehse, J., Yam, ...

Feb 28, 2023 · In Section 4, we present numerical results on several benchmark problems. 2 Definition of the problem. Before presenting the mean field optimal ...

In particular, we show how the supervised learning approach can be translated in terms of a (stochastic) mean-field optimal control problem by applying the ...

We introduce the concept of mean-field optimal control which is the rigorous limit process connecting finite dimensional optimal control problems with ODE ...

This work shows how the supervised learning approach can be translated in terms of a (stochastic) mean- field optimal control problem by applying the ...

Duration: 1:04:31
Posted: Jan 18, 2024

where (ΔWti)0≤i≤N−1 are independent, normal distributed sequence of random variables with mean 0 and variance 1. First, from the definition of open loop ...